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Finding the Fourth Proportional to 1,069.06, 1,474.92 and 626.80

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Solution

The fourth proportional to 1,069.06, 1,474.92 and 626.80 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.06 : 1,474.92 = 626.80 : x
  2. Step 2: Convert to fraction form
    1,069.06/1,474.92 = 626.80/x
  3. Step 3: Cross multiply
    1,069.06x = 1,474.92 × 626.80
  4. Step 4: Simplify right side
    1,069.06x = 924,479.86
  5. Step 5: Solve for x
    x = 924,479.86/1,069.06
  6. Step 6: Final answer
    x = 864.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.